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Finding the Fourth Proportional to 208.08, 312.20 and 121.45

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Solution

The fourth proportional to 208.08, 312.20 and 121.45 is: 182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 312.20 = 121.45 : x
  2. Step 2: Convert to fraction form
    208.08/312.20 = 121.45/x
  3. Step 3: Cross multiply
    208.08x = 312.20 × 121.45
  4. Step 4: Simplify right side
    208.08x = 37,916.00
  5. Step 5: Solve for x
    x = 37,916.00/208.08
  6. Step 6: Final answer
    x = 182.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.